| Abstrakt: |
The dimension of largest Jordan block corresponding to the zero eigenvalue of A is called the index of matrix A and is denoted by ind(A) . Let A∈Cm×n, W ∈Cn×m . Then A has the unique W-weighted Drazin inverse, denoted by AD,W, which satisfies AWX = XWA, XWAWX = X, (AW)k+1XW = (AW)k, where ind(AW) = k . The Wweighted Drazin inverse in solving the linear system WAWx = b has been used. So far the effect of the generalized inverses such as pseudoinverse, Drazin inverse and {1}- inverse in solving fuzzy linear systems is investigated. In this paper some new results on the W-weighted Drazin inverse are given. This results in solving singular fuzzy linear system, constrained linear systems and etc, would be applied. [ABSTRACT FROM AUTHOR] |
